A Numerical Method Coupling the T-A Formulation for Dynamic Resistance Computation in HTS Coated Conductors

High temperature superconducting coated conductor carrying direct current (dc) presents a dynamic resistance under an external perpendicular alternating current (ac) magnetic field, which is far more than the
E-J
relation measured in a steady field and varies with the frequency and amplitude of the external magnetic field. This study proposes a numerical method coupling
T-A
formulation and element equivalent shunt circuit equation. Numerical results of dynamic resistance have been compared to previous experiments,
T-A
formulation using power law
E-J
relation and an analytical equation. The comparison shows a strong performance of our method across a wide range of frequencies and field magnitudes, including both high and low-frequency regimes. Additionally, it reveals the reason for the differences in experimental results and the other two methods.